4.6 Review

Biomechanical modelling of tumor growth with chemotherapeutic treatment: a review

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Multiparameter Computational Modeling of Tumor Invasion

Elaine L. Bearer et al.

CANCER RESEARCH (2009)

Review Pharmacology & Pharmacy

Mathematical modeling as a tool for planning anticancer therapy

Andrzej Swierniak et al.

EUROPEAN JOURNAL OF PHARMACOLOGY (2009)

Article Engineering, Biomedical

Multiscale Modeling of Cell Mechanics and Tissue Organization

Tilo Beyer et al.

IEEE ENGINEERING IN MEDICINE AND BIOLOGY MAGAZINE (2009)

Article Biology

Individual-based and continuum models of growing cell populations: a comparison

Helen Byrne et al.

JOURNAL OF MATHEMATICAL BIOLOGY (2009)

Article Biology

Multiscale modelling and nonlinear simulation of vascular tumour growth

Paul Macklin et al.

JOURNAL OF MATHEMATICAL BIOLOGY (2009)

Article Biology

Nonlinear simulations of solid tumor growth using a mixture model: invasion and branching

Vittorio Cristini et al.

JOURNAL OF MATHEMATICAL BIOLOGY (2009)

Article Biology

Vascular remodelling of an arterio-venous blood vessel network during solid tumour growth

M. Welter et al.

JOURNAL OF THEORETICAL BIOLOGY (2009)

Article Physics, Multidisciplinary

A cellular automata model for avascular solid tumor growth under the effect of therapy

E. A. Reis et al.

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS (2009)

Article Multidisciplinary Sciences

3D Multi-Cell Simulation of Tumor Growth and Angiogenesis

Abbas Shirinifard et al.

PLOS ONE (2009)

Article Multidisciplinary Sciences

Multi-scale models of cell and tissue dynamics

Magdalena A. Stolarska et al.

PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES (2009)

Article Mathematical & Computational Biology

Multiphase and Multiscale Trends in Cancer Modelling

L. Preziosi et al.

MATHEMATICAL MODELLING OF NATURAL PHENOMENA (2009)

Article Biochemical Research Methods

Topography of Extracellular Matrix Mediates Vascular Morphogenesis and Migration Speeds in Angiogenesis

Amy L. Bauer et al.

PLOS COMPUTATIONAL BIOLOGY (2009)

Article Biophysics

The Role of Extracellular Matrix in Glioma Invasion: A Cellular Potts Model Approach

Brenda M. Rubenstein et al.

BIOPHYSICAL JOURNAL (2008)

Review Oncology

VEGF and Delta-Notch: interacting signalling pathways in tumour angiogenesis

G. Thurston et al.

BRITISH JOURNAL OF CANCER (2008)

Article Computer Science, Interdisciplinary Applications

HemeLB: A high performance parallel lattice-Boltzmann code for large scale fluid flow in complex geometries

M. D. Mazzeo et al.

COMPUTER PHYSICS COMMUNICATIONS (2008)

Article Chemistry, Physical

The MARTINI coarse-grained force field: Extension to proteins

Luca Monticelli et al.

JOURNAL OF CHEMICAL THEORY AND COMPUTATION (2008)

Article Mathematics, Applied

A Mathematical Model of Intermittent Androgen Suppression for Prostate Cancer

Aiko Miyamura Ideta et al.

JOURNAL OF NONLINEAR SCIENCE (2008)

Review Chemistry, Physical

Modeling self-assembly processes driven by nonbonded interactions in soft materials

Martin McCullagh et al.

JOURNAL OF PHYSICAL CHEMISTRY B (2008)

Article Biology

Three-dimensional multispecies nonlinear tumor growth - I - Model and numerical method

S. M. Wise et al.

JOURNAL OF THEORETICAL BIOLOGY (2008)

Article Biochemical Research Methods

Contact-Inhibited Chemotaxis in De Novo and Sprouting Blood-Vessel Growth

Roeland M. H. Merks et al.

PLOS COMPUTATIONAL BIOLOGY (2008)

Article Biochemistry & Molecular Biology

Modeling cell rheology with the Subcellular Element Model

Sebastian A. Sandersius et al.

PHYSICAL BIOLOGY (2008)

Article Physics, Multidisciplinary

Classifying the expansion kinetics and critical surface dynamics of growing cell populations

M. Block et al.

PHYSICAL REVIEW LETTERS (2007)

Review Oncology

Drug resistance and the solid tumor microenvironment

Olivier Tredan et al.

JOURNAL OF THE NATIONAL CANCER INSTITUTE (2007)

Article Computer Science, Interdisciplinary Applications

Solving the regularized, strongly anisotropic Cahn-Hilliard equation by an adaptive nonlinear multigrid method

Steven Wise et al.

JOURNAL OF COMPUTATIONAL PHYSICS (2007)

Article Chemistry, Physical

The MARTINI force field: Coarse grained model for biomolecular simulations

Siewert J. Marrink et al.

JOURNAL OF PHYSICAL CHEMISTRY B (2007)

Article Biology

An evolutionary hybrid cellular automaton model of solid tumour growth

P. Gerlee et al.

JOURNAL OF THEORETICAL BIOLOGY (2007)

Article Physics, Fluids & Plasmas

Stability analysis of a hybrid cellular automaton model of cell colony growth

P. Gerlee et al.

PHYSICAL REVIEW E (2007)

Review Biotechnology & Applied Microbiology

Peptide self-assembly at the nanoscale: a challenging target for computational and experimental biotechnology

Giorgio Colombo et al.

TRENDS IN BIOTECHNOLOGY (2007)

Article Multidisciplinary Sciences

Dll4 signalling through Notch1 regulates formation of tip cells during angiogenesis

Mats Hellstroem et al.

NATURE (2007)

Review Neurosciences

Computer simulation of glioma growth and morphology

Hermann B. Frieboes et al.

NEUROIMAGE (2007)

Review Cell Biology

A driving force for change: interstitial flow as a morphoregulator

Joseph M. Rutkowski et al.

TRENDS IN CELL BIOLOGY (2007)

Article Mathematics, Applied

A hybrid model for tumor spheroid growth in vitro I: Theoretical development and early results

Yangjin Kim et al.

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES (2007)

Article Medicine, Research & Experimental

Endpoints for agents that slow tumor growth

Ron X. Yu et al.

CONTEMPORARY CLINICAL TRIALS (2007)

Article Biochemistry & Molecular Biology

Tumor morphology and phenotypic evolution driven by selective pressure from the microenvironment

Alexander R. A. Anderson et al.

Article Biology

A continuum approach to modelling cell-cell adhesion

Nicola J. Armstrong et al.

JOURNAL OF THEORETICAL BIOLOGY (2006)

Article Biology

Vascular network remodeling via vessel cooption, regression and growth in tumors

K. Bartha et al.

JOURNAL OF THEORETICAL BIOLOGY (2006)

Article Biology

Simulating complex tumor dynamics from avascular to vascular growth using a general level-set method

Cosmina S. Hogea et al.

JOURNAL OF MATHEMATICAL BIOLOGY (2006)

Article Physics, Multidisciplinary

Flow correlated percolation during vascular remodeling in growing tumors

DS Lee et al.

PHYSICAL REVIEW LETTERS (2006)

Review Pharmacology & Pharmacy

A review on pro- and anti-angiogenic factors as targets of clinical intervention

D Bouïs et al.

PHARMACOLOGICAL RESEARCH (2006)

Article Biophysics

A multiscale model for avascular tumor growth

Y Jiang et al.

BIOPHYSICAL JOURNAL (2005)

Article Biochemistry & Molecular Biology

A single-cell-based model of tumor growth in vitro:: monolayers and spheroids

D Drasdo et al.

PHYSICAL BIOLOGY (2005)

Article Physics, Multidisciplinary

A cell-centered approach to developmental biology

RMH Merks et al.

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS (2005)

Article Biology

A hybrid mathematical model of solid tumour invasion: the importance of cell adhesion

ARA Anderson

MATHEMATICAL MEDICINE AND BIOLOGY-A JOURNAL OF THE IMA (2005)

Article Physics, Fluids & Plasmas

Multicellular tumor spheroid in an off-lattice Voronoi-Delaunay cell model

G Schaller et al.

PHYSICAL REVIEW E (2005)

Article Engineering, Multidisciplinary

Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement

TJR Hughes et al.

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2005)

Article Chemistry, Physical

Coarse grained model for semiquantitative lipid simulations

SJ Marrink et al.

JOURNAL OF PHYSICAL CHEMISTRY B (2004)

Review Biology

Mathematical modeling of tumor-induced angiogenesis

NV Mantzaris et al.

JOURNAL OF MATHEMATICAL BIOLOGY (2004)

Article Biology

Lattice and non-lattice models of tumour angiogenesis

MJ Plank et al.

BULLETIN OF MATHEMATICAL BIOLOGY (2004)

Article Biology

A cellular automaton model for tumour growth in inhomogeneous environment

T Alarcón et al.

JOURNAL OF THEORETICAL BIOLOGY (2003)

Article Cell Biology

VEGF guides angiogenic sprouting utilizing endothelial tip cell filopodia

H Gerhardt et al.

JOURNAL OF CELL BIOLOGY (2003)

Article Biology

A reinforced random walk model of tumour angiogenesis and anti-angiogenic strategies

MJ Plank et al.

MATHEMATICAL MEDICINE AND BIOLOGY-A JOURNAL OF THE IMA (2003)

Article Mathematics, Applied

A two-phase model of solid tumour growth

HM Byrne et al.

APPLIED MATHEMATICS LETTERS (2003)

Article Engineering, Biomedical

Interstitial stress and fluid pressure within a growing tumor

M Sarntinoranont et al.

ANNALS OF BIOMEDICAL ENGINEERING (2003)

Article Biology

Nonlinear simulation of tumor growth

V Cristini et al.

JOURNAL OF MATHEMATICAL BIOLOGY (2003)

Article Engineering, Multidisciplinary

On the mechanics of a growing tumor

D Ambrosi et al.

INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE (2002)

Article Multidisciplinary Sciences

Lymphatic metastasis in the absence of functional intratumor lymphatics

TP Padera et al.

SCIENCE (2002)

Article Physics, Fluids & Plasmas

Reaction-diffusion model for the growth of avascular tumor

SC Ferreira et al.

PHYSICAL REVIEW E (2002)

Article Cardiac & Cardiovascular Systems

Structural adaptation of microvascular networks: functional roles of adaptive responses

AR Pries et al.

AMERICAN JOURNAL OF PHYSIOLOGY-HEART AND CIRCULATORY PHYSIOLOGY (2001)

Review Multidisciplinary Sciences

Angiogenesis in cancer and other diseases

P Carmeliet et al.

NATURE (2000)

Article Biology

Simulated brain tumor growth dynamics using a three-dimensional cellular automaton

AR Kansal et al.

JOURNAL OF THEORETICAL BIOLOGY (2000)

Article Biology

Cellular automaton of idealized brain tumor growth dynamics

AR Kansal et al.

BIOSYSTEMS (2000)